Square + prime numbers - practice problems - page 2 of 3
Number of problems found: 48
- Two gears
The gearbox will use a large gear to turn a smaller gear. The large gear will make 75 revolutions per minute, while the smaller gear must make 384 revolutions per minute. Find the smallest number of teeth each gear could have. [Hint: Use either GCF or LCM - Two rectangles
I cut out two rectangles with 54 cm² and 90 cm². Their sides are expressed in whole centimeters. If I put these rectangles together, I get a rectangle with an area of 144 cm². What dimensions can this large rectangle have? Write all options. Explain your - Determine 36601
The plumbers have to cut sheet metal measuring 220 cm and 308 cm into squares of equal size so that the squares are as large as possible and the sheet metal is used without residue. How many such squares will they cut? Determine the side of this square. - Fertilizers 80357
A rectangular bed 3960 cm long and 825 cm wide needs to be divided into several equal square sectors on which scientists will test different fertilizers. Into what is the smallest number of sectors this bed can be divided? - Rectangular 4402
Our task is to save the rectangular images with dimensions of 105 mm and 42 mm so that we cover the smallest square. What will be its size, and how many pictures do we need? - Square gardens
The gardening colony with dimensions of 180 m and 300 m is to be completely divided into equally large square areas with the largest possible area. Calculate how many such square areas can be obtained and determine the square's side length. - Plumber
The plumber had to cut the metal strip with dimensions of 380 cm and 60 cm to the largest squares to no waste. Calculate the length of the sides of a square. How many squares cut it? - Rectangular 64554
We must draw a square grid on a rectangular plate measuring 154 cm and 210 cm. What should be the side length of the largest possible box? How many fields will be on the board? - The land
The owner wants to divide the land with dimensions of 220 m and 308 m into equally large square plots with the largest possible area. How long will one side of the plot be? - Mr. Zucchini
Mr. Zucchini had a rectangular garden whose perimeter was 28 meters. The garden's area filled just four square beds, whose dimensions in meters are expressed in whole numbers. Determine what size could have a garden. Find all the possibilities and write n - Rectangle-shaped 80074
Pupils had to stack rectangle-shaped pictures with dimensions of 210mm and 84mm so as to cover the square. What is the smallest square we can cover like this, and how many images do we need? - Cutting paper
Divide a rectangular paper with dimensions 220mm and 308mm into squares of the same size so that they are as large as possible. Specify the length of the side of the square. - Dimensions 7131
The paper has dimensions 220mm and 308mm. We need to cut it into as large a square as possible. What will be the side of this square? - Tiles
Hall has dimensions 250 × 200 dm. What is the largest size of square tiles that can be entire hall tiled, and how many do we need them? - Rectangular 56801
We are to create a square in the shape of a rectangle with an area of 288 m² (square) so that the sides are whole numbers. What are all the dimensions of the rectangular box we can make? How many is the solution? - Tiles
The room has dimensions of 12 m and 5.6 m. Determine the number of square tiles and their largest possible size to cover the room's floor. - Rectangular 22761
We will pave a square plot of land from rectangular tiles with 25 cm and 30 cm dimensions. What is the smallest square plot we can pave with these tiles without cutting them? - Rectangular 4819
Divide the rectangular meadow with dimensions of 1280m and 320m into a square shepherd with the longest possible side of the square. How many square pastures did you divide the meadow? - Largest squares
How many of the largest square sheets did the plumber cut the honeycomb from 16 dm and 96 dm? - Paper squares
We should cut the paper rectangle measuring 69 cm and 46 cm into as many squares as possible. Calculate the lengths of squares and their number.
Do you have homework that you need help solving? Ask a question, and we will try to solve it.